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1050105005110 = 257273190115443
BaseRepresentation
bin11110100011111110010…
…00101100010000110110
310201101111121211102001001
433101333020230100312
5114201103340130420
62122224522353514
7135603403161100
oct17217710542066
93641447742031
101050105005110
1137538a998927
1214b62605b89a
1378041a12265
1438b7aaac570
151c4b044db0a
hexf47f22c436

1050105005110 has 96 divisors (see below), whose sum is σ = 2230228626912. Its totient is φ = 354894220800.

The previous prime is 1050105005107. The next prime is 1050105005129. The reversal of 1050105005110 is 115005010501.

It is a happy number.

It is a super-2 number, since 2×10501050051102 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67991049 + ... + 68006491.

It is an arithmetic number, because the mean of its divisors is an integer number (23231548197).

Almost surely, 21050105005110 is an apocalyptic number.

1050105005110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1050105005110 is an abundant number, since it is smaller than the sum of its proper divisors (1180123621802).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1050105005110 is a wasteful number, since it uses less digits than its factorization.

1050105005110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17438 (or 17431 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 19.

The spelling of 1050105005110 in words is "one trillion, fifty billion, one hundred five million, five thousand, one hundred ten".

Divisors: 1 2 5 7 10 14 35 49 70 73 98 146 245 365 490 511 730 1022 1901 2555 3577 3802 5110 7154 9505 13307 15443 17885 19010 26614 30886 35770 66535 77215 93149 108101 133070 138773 154430 186298 216202 277546 465745 540505 693865 756707 931490 971411 1081010 1127339 1387730 1513414 1942822 2254678 3783535 4857055 5636695 6799877 7567070 7891373 9714110 11273390 13599754 15782746 29357143 33999385 39456865 55239611 58714286 67998770 78913730 110479222 146785715 205500001 276198055 293571430 411000002 552396110 1027500005 1438500007 2055000010 2143071439 2877000014 4286142878 7192500035 10715357195 14385000070 15001500073 21430714390 30003000146 75007500365 105010500511 150015000730 210021001022 525052502555 1050105005110